The length of a rectangular flower garden is 5 feet more than its width.
a. write an equation in terms of width for the area of the garden
b. if the area of the garden is 104 sq feet write an equation that can be used to solve for the width
c. solve the equation
d. what is the length and width of the garden

A. A = W(W + 5)

B. W*(W + 5) = 104

C. Width = 8 feet

D. The length = 13 feet.

Step-by-step explanation:

A. Let,

The width of a rectangular flower garden is W feet;

The length of a rectangular flower garden is W+5 feet.

We know, The area of a garden = (Length x Width) = W (W+5)

According to the question, the equation in terms of width for the area -

A = W(W + 5) (i)

B. Given,

The area of the garden = 104 square feet.

According to the question,

W*(W + 5) = 104

C. Solving the equation found in requirement B.

W*(W + 5) = 104

W^2 + 5W = 104

W^2 + 5W - 104 = 0

W^2 + 13W - 8W - 104 = 0

W(W + 13) - 8(W + 13) = 0

(W + 13) (W - 8) = 0

W = -13 or W = 8

The negative value of width is not acceptable, therefore, W = -13 is not the width.

The width = 8 feet

D. Therefore, the width is, W = 8 feet.

The length of a rectangular flower garden is W + 5 = 8 + 5 feet

The length = 13 feet.

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